83306137 has 16 divisors (see below), whose sum is σ = 92316672. Its totient is φ = 74836480.

The previous prime is 83306131. The next prime is 83306141. The reversal of 83306137 is 73160338.

It is not a de Polignac number, because 83306137 - 2¹⁹ = 82781849 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83306099 and 83306108.

It is not an unprimeable number, because it can be changed into a prime (83306131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31488 + ... + 34030.

It is an arithmetic number, because the mean of its divisors is an integer number (5769792).

Almost surely, 2^83306137 is an apocalyptic number.

It is an amenable number.

83306137 is a deficient number, since it is larger than the sum of its proper divisors (9010535).

83306137 is a wasteful number, since it uses less digits than its factorization.

83306137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 83306137 is about 9127.2195656728. The cubic root of 83306137 is about 436.7427108271.

The spelling of 83306137 in words is "eighty-three million, three hundred six thousand, one hundred thirty-seven".